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Finding the Fourth Proportional to 613.65, 919.94 and 289.41

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Solution

The fourth proportional to 613.65, 919.94 and 289.41 is: 433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.65 : 919.94 = 289.41 : x
  2. Step 2: Convert to fraction form
    613.65/919.94 = 289.41/x
  3. Step 3: Cross multiply
    613.65x = 919.94 × 289.41
  4. Step 4: Simplify right side
    613.65x = 266,238.39
  5. Step 5: Solve for x
    x = 266,238.39/613.65
  6. Step 6: Final answer
    x = 433.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.